College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3, Problem 8P
A force
Figure P3.8
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
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Chapter 3 Solutions
College Physics
Ch. 3.1 - The magnitudes of two vectors A and B are 12 units...Ch. 3.2 - Prob. 3.2QQCh. 3.2 - Prob. 3.3QQCh. 3.3 - Which of the following objects cant be...Ch. 3.3 - Consider the following controls in an automobile:...Ch. 3.4 - Suppose you are carrying a ball and running at...Ch. 3.4 - As a projectile moves in its parabolic path, where...Ch. 3 - A vector A has components Ax = 5.00 m and Ay =...Ch. 3 - Calculate (a) the x- and (b) y-components of the...Ch. 3 - Find (a) the x- and (b) y-components of R = 2A B...
Ch. 3 - A hiker walks from (x1, y1) = (4.00 km. 3.00 km)...Ch. 3 - A hiker walks 3.00 km north and then 4.00 km west,...Ch. 3 - A car is traveling east at 25.0 m/s when it turns...Ch. 3 - A skier leaves the end of a horizontal ski jump at...Ch. 3 - A catapult launches a large stone from ground...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A spacecraft drifts through space at a constant...Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A car moving around a circular track, with...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - Prob. 1PCh. 3 - Vector A has a magnitude of 8.00 units and makes...Ch. 3 - Vector A is 3.00 units in length and points along...Ch. 3 - Three displacements are A = 200 m due south, R =...Ch. 3 - A roller coaster moves 200 ft horizontally and...Ch. 3 - An airplane flies 200 km due west from city A to...Ch. 3 - A plane flies from base camp to lake A, a distance...Ch. 3 - A force F1, of magnitude 6.00 units acts on an...Ch. 3 - A man in a maze makes three consecutive...Ch. 3 - Prob. 10PCh. 3 - The magnitude of vector A is 35.0 units and points...Ch. 3 - A figure skater glides along a circular path of...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A hiker starts at his camp and moves the following...Ch. 3 - A vector has an x-component of 25.0 units and a...Ch. 3 - A quarterback takes the ball from the line of...Ch. 3 - The eye of a hurricane passes over Grand Bahama...Ch. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - A commuter airplane starts from ar. airport and...Ch. 3 - The helicopter view in Figure P3.20 shows two...Ch. 3 - A novice golfer on the green takes three strokes...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - A Nordic jumper goes off a ski jump at an angle of...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - A chinook salmon has a maximum underwater speed of...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - In a very popular lecture demonstration, a...Ch. 3 - Figure P3.60 illustrates the difference in...Ch. 3 - By throwing a ball at an angle of 45, a girl can...Ch. 3 - The equation of a parabola is y = ax2 + bx + c,...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A student derides to measure the muzzle velocity...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A dart gun is fired while being held horizontally...Ch. 3 - The determined Wile E. Coyote is out once more to...Ch. 3 - A truck loaded with cannonball watermelons stops...
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